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Homogeneity of the Pure State Space of the Cuntz Algebra

✍ Scribed by Ola Bratteli; Akitaka Kishimoto

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
149 KB
Volume
171
Category
Article
ISSN
0022-1236

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✦ Synopsis

If | 1 , | 2 are two pure gauge-invariant states of the Cuntz algebra O d , we show that there is an automorphism : of O d such that | 1 =| 2 b :. If | is a general pure state on O d and . 0 is a given Cuntz state, we show that there exists an endomorphism : of O d such that . 0 =| b :.

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